Question #6166a

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Answer 1 · 2017-10-17T01:18:26

$y > - 4$ $y> -4$

Add $6 y$ $6y$ to both sides of the inequality.

$1 - 6 y + 6 y < 25 + 6 y \Rightarrow 1 < 6 y + 25$ $1-6y+6y<25+6y => 1<6y+25$

Subtract $25$ $25$ from both sides.

$1 - 25 < 6 y + 25 - 25 \Rightarrow - 24 < 6 y$ $1-25<6y+25-25 => -24<6y$

Lastly, divide both sides by $6$ $6$

$- \frac{24}{6} < \frac{6 y}{6} \Rightarrow - 4 < y$ $-24/6<(6y)/6 => -4< y$

The solution is $y > - 4$ $y> -4$